点阵 群Word文档格式.docx
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斜方晶系(Orthohombic)
三个方位:
a,b,c
6
222
(16)P222
(17)P2221
(18)P21212
(19)P212121
(20)C2221
(21)C222
(22)F222
(23)I222
(24)I212121
abc皆为2
7
mm(mm2)
(25)Pmm2
(26)Pmc21
(27)Pcc2
(28)Pma2
(29)Pca21
(30)Pnc2
(31)Pmn21
(32)Pba2
(33)Pna21
(34)Pnn2
(35)Cmm2
(36)Cmc21
(37)Ccc2
(38)Amm2
(39)Abm2
(40)Ama2
(41)Aba2
(42)Fmm2
(43)Fdd2
(44)Imm2
(45)Iba2
(46)Ima2
a为⊥m,b为⊥m,c为2(两两垂直的对称面交线为2)。
8
mmm
(47)Pmmm
(48)Pnnn
(49)Pccm
(50)Pban
(51)Pmma
(52)Pnna
(53)Pmna
(54)Pcca
(55)Pbam
(56)Pccn
(57)Pbcm
(58)Pnnm
(59)Pmmn
(60)Pbcn
(61)Pbca
(62)Pnma
(63)Cmcm
(64)Cmca
(65)Cmmm
(66)Cccm
(67)Cmma
(68)Ccca
(69)Fmmm
(70)Fddd
(71)Immm
(72)Ibam
(73)Ibca
(74)Imma
abc皆为2+⊥m
4
四方晶系
(Tetragonal)
c,a,a+b
9
(75)P4
(76)P41
(77)P42
(78)P43
(79)I4
(80)I41
c为4
10
-4
(81)P-4
(82)I-4
c为-4
11
4/m
(83)P4/m
(84)P42/m
(85)P4/n
(86)P42/n
(87)I4/m
(88)I41/a
c为4+⊥m。
偶次轴+垂直对称面,可以产生对称中心。
12
42(422)
(89)P422
(90)P4212
(91)P4122
(92)P41212
(93)P4222
(94)P42212
(95)P4322
(96)P43212
(97)I422
(98)I4122
c为4,垂直于c轴有4个2(即a为2,a+b为2)
13
4mm
(99)P4mm
(100)P4bm
(101)P42cm
(102)P42nm
(103)P4cc
(104)P4nc
(105)P42mc
(106)P42bc
(107)I4mm
(108)I4cm
(109)I41md
(110)I41cd
c为4,同时c轴包含4个m(a为⊥m,a+b为⊥m)
14
-42m
(111)P-42m
(112)P-42c
(113)P-421m
(114)P-421c
(115)P-4m2
(116)P-4c2
(117)P-4b2
(118)P-4n2
(119)I-4m2
(120)I-4c2
(121)I-42m
(122)I-42d
两种定位:
1)-42m
(上):
c为-4,a为2,a+b为⊥m。
2)-4m2(下):
c为-4,a为⊥m,a+b为2。
15
4/mmm
(123)P4/mmm
(124)P4/mcc
(125)P4/nbm
(126)P4/nnc
(127)P4/mbm
(128)P4/mnc
(129)P4/nmm
(130)P4/ncc
(131)P42/mmc
(132)P42/mcm
(133)P42/nbc
(134)P42/nnm
(135)P42/mbc
(136)P42/mnm
(137)P42/nmc
(138)P42/ncm
(139)I4/mmm
(140)I4/mcm
(141)I41/amd
(142)I41/acd
c为4+⊥m,a为2+⊥m,a+b为2+⊥m。
5
三方晶系
(Rhombohedral)
c,a,2a+b
16
(143)P3
(144)P31
(145)P32
(146)R3
c方向为3次轴或3次螺旋轴
(P为六方原始格子,R为菱面体格子,下同)
17
-3
(147)P-3
(148)R-3
c为-3
18
32
(149)P312
(150)P321
(151)P3112
(152)P3121
(153)P3212
(154)P3221
(155)R32
1)321:
c为3,a为2,2a+b方向无(左图)
2)312:
c为3,a方向无,2a+b为2(右图)
19
3m
(156)P3m1
(157)P31m
(158)P3c1
(159)P31c
(160)R3m
(161)R3c
1)3m1:
c为3,a为⊥m,2a+b方向无
(上图)
2)31m:
c为3,a方向无,
2a+b为⊥m(下图)(实际为a包含对称面)
20
-3m
(162)P-31m
(163)P-31c
(164)P-3m1
(165)P-3c1
(166)R-3m
(167)R-3c
1)-3m1:
c为-3,a为2+⊥m,2a+b方向无
2)-31m:
c为-3,
a方向无,2a+b为2+⊥m(下图)(实际为a包含对称面)
6
六方晶系(Hexagonal)
21
(168)P6
(169)P61
(170)P65
(171)P62
(172)P64
(173)P63
c为6
22
-6
(174)P-6
c为-6(即为3+⊥m)
23
6/m
(175)P6/m
(176)P63/m
c为6+⊥m
24
62(622)
(177)P622
(178)P6122
(179)P6522
(180)P6222
(181)P6422
(182)P6322
c为6,a为2,2a+b为2
25
6mm
(183)P6mm
(184)P6cc
(185)P63cm
(186)P63mc
c为6,a为⊥m,2a+b为⊥m
(6次轴包含6个对称面)
26
-62m
(187)P-6m2
(188)P-6c2
(189)P-62m
(190)P-62c
1)-62m:
c为-6(即3+⊥m),
a为2,2a+b为⊥m(上图)
2)-6m2:
a为⊥m
,2a+b为2(下图)
27
6/mmm
(191)P6/mmm
(192)P6/mcc
(193)P63/mcm(194)P63/mmc
c为6+⊥m,a为2+⊥m,
2a+b为2+⊥m
7
等轴晶系(Cubic)
c,a+b+c,a+b
28
(195)P23
(196)F23
(197)I23
(198)P213
(199)I213
c:
a+b+c:
29
m3
(200)Pm-3
(201)Pn-3
(202)Fm-3
(203)Fd-3
(204)Im-3
(205)Pa-3
(206)Ia-3
c:
2+⊥m
-3
30
43(432)
(207)P432
(208)P4232
(209)F432
(210)F4132
(211)I432
(212)P4332
(213)P4132
(214)I4132
a+b+c:
a+b:
31
-43m
(215)P-43m
(216)F-43m
(217)I-43m
(218)P-43n
(219)F-43c
(220)I-43d
⊥m
m3m
(221)Pm-3m
(222)Pn-3n
(223)Pm-3n
(224)Pn-3m
(225)Fm-3m
(226)Fm-3c
(227)Fd-3m
(228)Fd-3c
(229)Im-3m
(230)Ia-3d
4+⊥m
-3
2+⊥m